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Finding the Fourth Proportional to 9,116, 13,675.92 and 2,960.48

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Solution

The fourth proportional to 9,116, 13,675.92 and 2,960.48 is: 4,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116 : 13,675.92 = 2,960.48 : x
  2. Step 2: Convert to fraction form
    9,116/13,675.92 = 2,960.48/x
  3. Step 3: Cross multiply
    9,116x = 13,675.92 × 2,960.48
  4. Step 4: Simplify right side
    9,116x = 40,487,287.64
  5. Step 5: Solve for x
    x = 40,487,287.64/9,116
  6. Step 6: Final answer
    x = 4,441.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.